206812817024 has 128 divisors (see below), whose sum is σ = 456910632000. Its totient is φ = 92456017920.

The previous prime is 206812817017. The next prime is 206812817047. The reversal of 206812817024 is 420718218602.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38952482 + ... + 38957790.

Almost surely, 2^206812817024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206812817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228455316000).

206812817024 is an abundant number, since it is smaller than the sum of its proper divisors (250097814976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206812817024 is a wasteful number, since it uses less digits than its factorization.

206812817024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 206812817024 in words is "two hundred six billion, eight hundred twelve million, eight hundred seventeen thousand, twenty-four".